Probability and Geometry on Groups download free tutorial in pdf

1 Basic examples of random walks
2 Free groups and presentations
3 The asymptotic geometry of groups
4 Nilpotent and solvable groups
5 Isoperimetric inequalities
6 Random walks, discrete potential theory, martingales
7 Cheeger constant and spectral gap
8 Isoperimetric inequalities and return probabilities in general
9 Speed, entropy, Liouville property, Poisson boundary
10 Growth of groups, of harmonic functions and of random walks
11 Harmonic Dirichlet functions and Uniform Spanning Forests
12 Percolation theory
13 Further spatial models
14 Local approximations to Cayley graphs
15 Some more exotic groups
16 Quasi-isometric rigidity and embeddings

Course, tutorial Summary Probability and Geometry on Groups

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This course is intended for a strictly personal use, the file is of format pdf level Beginner , the size of this file is 2.4 MB.

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Probability and Geometry on Groups in pdf